352407607311312 has 120 divisors (see below), whose sum is σ = 1130284646974080. Its totient is φ = 100407420046080.

The previous prime is 352407607311301. The next prime is 352407607311349. The reversal of 352407607311312 is 213113706704253.

352407607311312 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 0 + 7 + 607 + 3 + 1 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×352407607311312² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486561139 + ... + 487284882.

It is an arithmetic number, because the mean of its divisors is an integer number (9419038724784).

Almost surely, 2^{352407607311312} is an apocalyptic number.

It is an amenable number.

352407607311312 is an abundant number, since it is smaller than the sum of its proper divisors (777877039662768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352407607311312 is a wasteful number, since it uses less digits than its factorization.

352407607311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973846401 (or 973846392 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 352407607311312 in words is "three hundred fifty-two trillion, four hundred seven billion, six hundred seven million, three hundred eleven thousand, three hundred twelve".